Journals / Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics / 2018 / Cilt: 67 - Sayı: 1
LOCALIZED RADIAL SOLUTION TO A SUPERLINEAR DIRICHLET PROBLEM IN ANNULAR DOMAIN
- Journal
- Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics
- Pages
- 129–140
- DOI
- —
Abstract
In this paper, we are interested to the existence of radially sym-metric solutions of $u(x) + f(u) = 0 $with prescribed number of zeros onannular domain in RN, when f grows superlinearity at infinity. Our approachis based on a shooting method and using fairly straightforward tools of thetheory of ordinary di¤erential which is convenient to count the number ofnodes.